[paulsherwin]

If you free up the wavechange switch it shouldn't need too much torque to operate it, so the first thing to try is to glue the teeth back on with good glue, either superglue or epoxy (I've always been an epoxy man, but opinions differ). Don't use Poundland specials for this. If that fails you will need to reform the gear teeth with a Dremel type tool and some brass, nylon or plastic.

I agree that the arrangement is needlessly complicated, but the radio is a pretty design, influenced by the European 'Philetta' models.